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Raising a Ladder. A ladder carried by a fire truck is 20.0 m long. The ladder weighs 3400 N and its center of gravity is at its center. The ladder is pivoted at one end (A) about a pin (Fig. E11.5); ignore the friction torque at the pin. The ladder is raised into position by a force applied by a hydraulic piston at C. Point C is 8.0 m from A, and the force
Figure E11.5
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University Physics (14th Edition)
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- A person pushing a horizontal, uniformly loaded, 26.90 kg26.90 kg wheelbarrow of length ?L is attempting to get it over a step of height ℎ=0.470?,h=0.470R, where ?R is the wheel's radius. The center of gravity of the wheelbarrow is in the center of the wheelbarrow. What is the horizontal component ??Px of the minimum force ?⃗ P→ necessary to push the wheelbarrow over the step?arrow_forwardYou have a cylinder. You don't know what its internal structure looks like, but you plan to roll it down a ramp, as in this week's procedure. The ramp is 1 m long, and is elevated at an angle of 15°. The mass of the cylinder is 450 g and its diameter is 2.1 cm.arrow_forwardA vaulter holds a 29.4-N pole in equilibrium by exerting an upward force with U→ her leading hand and a downward force D→ with her trailing hand as shown in Figure P12.12. Point C is the center of gravity of the pole. What are the magnitudes of (a) U→ and (b) D→ ?arrow_forward
- 11.52 · A Truck on a Drawbridge. A loaded cement mixer drives onto an old drawbridge, where it stalls with its center of gravity three-quarters of the way across the span. The truck driver radios for help, sets the handbrake, and waits. Meanwhile, a boat approaches, so the drawbridge is raised by means of a cable attached to the end opposite the hinge (Fig. P11.52). The draw- bridge is 40.0 m long and has a mass of 18,000 kg; its center of gravity is at its midpoint. The cement mixer, with driver, has mass 30,000 kg. When the drawbridge has been raised to an angle of 30° above the horizontal, the cable makes an angle of 70° with the surface of the bridge. (a) What is the tension T in the cable when the drawbridge is held in this position? (b) What are the horizontal and vertical components of the force the hinge exerts on the span? Figure P11.52 70° k100 m 40.0 m 30arrow_forwardA person pushing a horizontal, uniformly loaded, 27.15 kg27.15 kg wheelbarrow of length ?L is attempting to get it over a step of height ℎ=0.370?,h=0.370R, where ?R is the wheel's radius. The center of gravity of the wheelbarrow is in the center of the wheelbarrow. What is the horizontal component ??Px of the minimum force ?⃗ P→ necessary to push the wheelbarrow over the step? The gravitational acceleration is ?=9.81 m/s2.arrow_forwardThe 38-kg homogeneous smooth sphere rests on the 40° incline A and bears against the smooth vertical wall B. Calculate the contact force at A and B. Assume = 40°. Answers: FA = FB: = Ꮎ i 498 307 B N Narrow_forward
- In the figure, a lead brick rests horizontally on cylinders A and B. The areas of the top faces of the cylinders are related by AA= 2.9 Ag; the Young's moduli of the cylinders are related by EA= 2.1 EB. The cylinders had identical lengths before the brick was placed on them. What fraction of the brick's mass is supported (a) by cylinder A and (b) by cylinder B? The horizontal distances between the center of mass of the brick and the centerlines of the cylinders are dafor cylinder A and dg for cylinder B. (c) What is the ratio da/dg? da com of brick (a) Number Units (b) Number Units Units (c) Numberarrow_forwardIn the figure, a lead brick rests horizontally on cylinders A and B. The areas of the top faces of the cylinders are related by Aa= 2.1 Ag; the Young's moduli of the cylinders are related by EA= 2.4 Eg. The cylinders had identical lengths before the brick was placed on them. What fraction of the brick's mass is supported (a) by cylinder A and (b) by cylinder B? The horizontal distances between the center of mass of the brick and the centerlines of the cylinders are dafor cylinder A and dg for cylinder B. (c) What is the ratio da/dg? com of brick (a) Number i Units (b) Number i Units (c) Number i Unitsarrow_forwardIn the figure, a lead brick rests horizontally on cylinders A and B. The areas of the top faces of the cylinders are related by AA= 2.7 Ag; the Young's moduli of the cylinders are related by EA= 2.8 Eg. The cylinders had identical lengths before the brick was placed on them. What fraction of the brick's mass is supported (a) by cylinder A and (b) by cylinder B? The horizontal distances between the center of mass of the brick and the centerlines of the cylinders are dafor cylinder A and dg for cylinder B. (c) What is the ratio da/dg? da com of brick A В (a) Number i Units (b) Number i Units (c) Number i Units >arrow_forward
- In the figure, a lead brick rests horizontally on cylinders A and B. The areas of the top faces of the cylinders are related by A4= 2.8 Ag; the Young's moduli of the cylinders are related by Ea= 2.3 Eg. The cylinders had identical lengths before the brick was placed on them. What fraction of the brick's mass is supported (a) by cylinder A and (b) by cylinder B? The horizontal distances between the center of mass of the brick and the centerlines of the cylinders are dafor cylinder A and d; for cylinder B. (c) What is the ratio da/dg? com of brick A (a) Number i Units (b) Number i Units (c) Number i Unitsarrow_forwardThe cable AB carries a tension of 520 N. Determine the moment about O (positive if counterclockwise, negatíve if clockwise) of this tension as applied to point A of the slender bar. 620 mm 470 mm 24 Answer: Mo = i N-marrow_forwardIn the figure, a lead brick rests horizontally on cylinders A and B. The areas of the top faces of the cylinders are related by A4= 1.6 Ag; the Young's moduli of the cylinders are related by Ea= 2.3 Eg. The cylinders had identical lengths before the brick was placed on them. What fraction of the brick's mass is supported (a) by cylinder A and (b) by cylinder B? The horizontal distances between the center of mass of the brick and the centerlines of the cylinders are dafor cylinder A and dg for cylinder B. (c) What is the ratio da/dg? com of brick A B (a) Number Units (b) Number i Units (c) Number Units > >arrow_forward
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
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